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Finding the Fourth Proportional to 15,815.45, 23,744.78 and 8,029.73

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Solution

The fourth proportional to 15,815.45, 23,744.78 and 8,029.73 is: 12,055.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,815.45 : 23,744.78 = 8,029.73 : x
  2. Step 2: Convert to fraction form
    15,815.45/23,744.78 = 8,029.73/x
  3. Step 3: Cross multiply
    15,815.45x = 23,744.78 × 8,029.73
  4. Step 4: Simplify right side
    15,815.45x = 190,664,172.31
  5. Step 5: Solve for x
    x = 190,664,172.31/15,815.45
  6. Step 6: Final answer
    x = 12,055.56

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.